UDC 536.21 Rajneesh Kumar and Tarun Kansal
PROPAGATION OF RAYLEIGH WAVES IN TRANSVERSELY ISOTROPIC GENERALIZED THERMOELASTIC DIFFUSIONThe paper is devoted to the study of propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space which is subjected to stress-free, thermally insulated/isothermal, and chemical potential boundary conditions in the context of the generalized theory of thermoelastic diffusion. The Lord and Shulman theory, where thermal and thermomechanical relaxation as well as diffusion relaxation are governed by two different time constants, is selected. Secular equations for surface wave propagation in the considered media are derived. The amplitudes of surface displacements, temperature change, and concentration are computed. The paths of the surface particles are determined. Transverse isotropy and diffusion effects on the phase velocity, group velocity, and attenuation coefficient are presented graphically. Keywords: Wave propagation; transversely isotropic solid; generalized thermoelastic diffusion; phase velocity; group velocity; attenuation Coefficient. Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India; email: firstname.lastname@example.org. Original article submitted July 12, 2008; revision submitted October 13, 2008.